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Find the area of a rectangle. The perimeter is 92 meters and the length is 6 more than 4 times the width. [?] square meters Enter the number that belongs in the green box. Enter

Find the area of a rectangle. The perimeter is 92 meters and the length is 6 more-example-1
User Dvdblk
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1 Answer

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We have the following:


p=2\cdot l+2\cdot w

Where p is perimeter, l is the length and w is the width, replacing:


\begin{gathered} l=4\cdot w+6 \\ p=92 \\ 92=2\cdot(4\cdot w+6)+2\cdot w \\ 92=6w+12+2w \\ 8w=92-12 \\ w=(80)/(8) \\ w=8 \end{gathered}

for the length:


\begin{gathered} l=4\cdot8+6 \\ l=38 \end{gathered}

Now, the area is:


\begin{gathered} A=l\cdot w \\ A=8\cdot38 \\ A=304 \end{gathered}

The anwers is 304 square meters

User Gerik
by
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